Mathematics 6150

Commutative Algebra

This is a rough guide to the topics we will cover.

This document was last modified on: UTC

Week 1
Week 2
Rings and ideals
Week 3
Week 4
Rings and modules of fractions
Week 5
Primary decomposition
Week 6 Integral dependence and valuations
Week 7
Chain conditions
Week 8 Noetherian rings
Week 9 Artin Rings
Week 10 Discrete valuation rings and Dedekind domains
Week 11 Completions
Week 12 Dimension theory
Week 13 Derivations and differentials
Week 14 Further topics
Week 15